Your friend asks you for help on a geometry exercise. Your​ friend's paper is shown to the right. What error did your friend​ make? Explain.
a.Your​ friend's paper does not name the triangles correctly for them to be congruent.
b. Your​ friend's paper shows that the SAS Postulate should be used to show congruence because a pair of congruent angles is included between two pairs of congruent sides.
c. The ASA Postulate cannot be used to prove the congruence of the two triangles as shown because the triangles do not have two pairs of congruent angles.
d.
The ASA Postulate cannot be used to prove the congruence of the two triangles as shown because the included sides between the two pairs of congruent angles are not marked as congruent in both triangles.

Your Friend Asks You For Help On A Geometry Exercise. Your Friend's Paper Is Shown To The Right. What

Answers

Answer 1

Two or more shapes are said to be similar if they have common corresponding properties of sides and/ angles. Thus the error made is option D.

Similar shapes are two or more given shapes that have some common properties with respect to their corresponding sides or angles. So that if on comparing each corresponding sides or angles, and are related, then they are similar. Note that similarity does not imply congruency.

Comparing the sides and angles of the given triangles ΔLMN and ΔQRS, it can be seen that;

Angle Side Angle (ASA) similarity relation implies that the included side between two pairs of congruent angles are similar. Thus, the error made in the diagram is explained in option D.

Option D. The ASA Postulate cannot be used to prove the congruence of the two triangles as shown because the included sides between the two pairs of congruent angles are not marked as congruent in both triangles.

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Related Questions

What is the reference angle of 255°?​

Answers

Answer:

255 degrees is in quadrant 3. The reference angle in this case is the negative x axis to 255 degrees, which is 255 - 180 = 75 degrees

Step-by-step explanation:

WILL VOTE BRAINLIEST, 50 POINTS

Answers

Answer:

-1

Step-by-step explanation:

[tex] - 3f {}^{ - 8} + 7g(2) \\ \\ = 14g - 3f {}^{ - 8} [/tex]

A loggerhead sea turtle decided to swim to grab some lunch! She swam 4 miles west and 3 miles south until she stopped and found a delicious crab to eat. What is the distance between the sea turtle's start point and where she found the crab? Round to the nearest tenths place, if necessary.

Answers

Answer:

5 miles

Step-by-step explanation:

The Pythagoras theorem : a² + b² = c²

where a = length = 4

b = base= 3

c = hypotenuse

4² + 3²

16 + 9 = 25

√25 = 5

Helppp please i need help!!! I was having trouble

Answers

ANSWER - 65.97


V=πr2h
3=π·32·7
3≈65.97345

One factor of f(x)=5x3-5x2-170x+280is(x+7). What are all the roots of the function? Use the Remainder Theorem.

Answers

Answer:

Roots of the f(x) is -7 , 4 and 2.

Step-by-step explanation:

Give that

5x^3-5x^2-170x+280 is (x+7)

One factor of f(x) = x + 7

So,

One root , x = -7

First we determine All factors of the given f(x).

Now divide f(x) by given factor the results are given below:

f(x) = ( x + 7 ) ( 5x² - 30x + 40 )  

    = ( x + 7 ) ( 5x² - 20x - 10x + 40 )  

    = ( x + 7 ) ( 5x( x - 4 ) - 10( x - 40 ) )  

    = ( x + 7 ) ( x - 4 ) ( 5x - 10 )

Now

Place x = -7 in the given function,

f(-7) = 5(-7)³ + 5(-7)² - 170(-7) + 280 = -1715 + 245 + 1190 + 280 = 0

So, First root is -7

Now, Place x = 4

f(4) = 5(4)³ + 5(4)² - 170(4) + 280 = 320 + 80 - 680 + 280 = 0

So, Second root is 4

ANd, place x = 10/5 = 2

f(2) = 5(2)³ + 5(2)² - 170(2) + 280 = 40 + 20 - 340 + 280 = 0

So, Third root is 2

Therefore, Roots of the f(x) is -7 , 4 and 2.

What is a dot plot ?

Answers

Answer:

A graphical display of data using dots.

Step-by-step explanation:

Midory had 0.0085 pounds of chocolate. What is this equation written in scientific notation?

Answers

Answer in scientific notation: 8.3x10^-3

in shop a crunchy peanut butter costs $325 for 250g

in shop b crunchy peanut butter costs $408 for 340g

which shop gives better value for money. explain your answer

Answers

Answer:

shop b

Step-by-step explanation:

We can find for example how much 100 grams of peanut butter cost in each shop using a proportion

shop A 100 : 250 = x : 325

x = (325 * 100) / 250 = $130

shop B  100 : 340 = x : 408

x = (408 * 100)/ 340 = $120

We discovered that shop B is cheaper

1.
The table below shows the favorite fruits of the 6th graders in Alyssa’s school.


What is the mode of this data set?


https://scope.schoolobjects.com/eduphoria_webcontrols/tests/TestImage.aspx?bnk=cscope&aid=79a723b3-8302-4a87-94fa-3a7a8ae740ee&mode=edit

Answers

Answer:

screenshot the data set instead of giving a link then i will be able to help.

Step-by-step explanation:

A football field is 360 feet long. The titanic was 883 feet. About how many football fields long was the titanic? Write your answer as a whole number and a decimal

Answers

Given:

The length of the football field = 360 feet

The length of the titanic = 883 feet

To find:

About how many football fields long was the titanic?

Solution:

We have,

Length of the football field = 360 feet

Length of the titanic = 883 feet

Now we need to divide the length of the titanic by length of the football field to find the number of football fields whose length is equal to the titanic.

[tex]\text{Number of required football fields}=\dfrac{\text{Length of the titanic}}{\text{Length of the football field}}[/tex]

[tex]\text{Number of required football fields}=\dfrac{883}{360}[/tex]

[tex]\text{Number of required football fields}=2.452777...[/tex]

[tex]\text{Number of required football fields}=2.452\overline{7}[/tex]

[tex]\text{Number of required football fields}\approx 2[/tex]

Therefore, the answer in whole number is 2 and the answer in decimal is [tex]2.452\overline{7}[/tex].

Given the exponential decay function
y = 39, 752 * (0.925) ^ t which represents the population of a town after t years, what is the rate of decay written as a percentage?

A. 0.073
B. 0.925
C. 7.5
D. 92.5

Answers

The answer is a I hope this helps your welcome

The circumference of a circle is 46.472 millimeters. What is the circle's radius?

Answers

Answer:

r≈7.4

Step-by-step explanation:

C=2πr

Solving forr

r=C

2π=46.47

2·π≈7.39625

Hope this helps! Happy friday!

Add fractions with unlike denominators

Answers

Answer:

29/12

Step-by-step explanation:

[tex]\frac{7}{4} +\frac{2}{3}[/tex]

7 * 3 / 4 *3 = 21/12

2 * 4 / 3 * 4 = 8/12

[tex]\frac{21}{12} +\frac{8}{12}= \frac{29}{12}[/tex]

Hope this helps!

Answer:

29/12 or 2 and 5/2 as a mixed number

Step-by-step explanation:

find the slope of the lines graphed below​

Answers

Answer:

use formula

slope m =(y2-y1)/(x2-x1)

Step-by-step explanation:

for first one

(x1,y1)=(2,1)

(x2,y2)=(0,-3)

now

slope m =(y2-y1)/(x2-x1)=(-3-1)/(0-2)=-4/-2=2

try other thank you hope it helps

Express the number 4.6 x 108 in standard form​

Answers

Answer:

496.8

Step-by-step explanation:

because there is o value

496.8 is the answer

Chase has been playing a game where he can create towns and help his empire expand. Each town he has allows him to create 1.13 times as
many villagers. The game gave Chase 4 villagers to start with. Help Chase expand his empire by solving for how many villagers he can create
with 17 towns. Then explain to Chase how to create an equation to predict the number of villagers for any number of towns. Show your work
and use complete sentences. (10 points)

Answers

Answer:

about 23 villagers

Step-by-step explanation:

17 x 1.13 =19.21 + 4 =23.21

chase would have to use the equation

(n x 1.13)+4

with n being the number of towns

M
N
Which statement is true about ZJXM and 2NXP?
O ZJXM and 2NXP are complementary
O ZJXM and XNXP are vertical.
O ZJXM and 2NXP are supplementary
O ZJXM and XNXP are adjacent
i

Answers

Answer:

Im late but i was doing the assignment and got A

Step-by-step explanation:

Option A is correct, ∠JXM  and  ∠NXP  are complementary is the true statement.

What are Angles?

An angle is formed when two straight lines or rays meet at a common endpoint.

There are three angles on this straight line JP which are ∠JXM, ∠NXP and ∠MXN

It is shown that ∠MXN is a right angle i.e. 90°.

Then, sum of angle on this line is 180°.

∠JXM + ∠NXP + ∠MXN = 180°

∠JXM + ∠NXP + 90° = 180°

∠JXM + ∠NXP = 180° — 90°

∠JXM + ∠NXP = 90°

From the definition of complementary angles : Two Angles are said to Complementary if their sum is 90° (a Right Angle).

Then, since ∠JXM + ∠NXP add up to 90°, it shows that ∠JXM and ∠NXP are complementary


Hence,  ∠JXM  and  ∠NXP  are complementary is the true statement.

To learn more on Angles click:

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The New Horizons satellite is currently travelling at a speed of 35,000 mph (miles per hour). How many miles
can it travel in one day?

Answers

840,000 miles.

You multiply 35,000 and 24 since it's 24 hrs in a day and it gives you 840,000!

Dana takes a sheet of paper and cuts from one corner to the opposite corner, making two triangles. If the piece of paper is 8 inches long and 5 inches wide, how long is the diagonal cut that Dana made? If necessary, round to the nearest tenth.

Answers

Answer:

9.4 inches

Step-by-step explanation:

The triangle formed is  aright angled triangle with the right angle between the  length and width of the paper cut hence the diagonal represents the hypotenuse side.

Recall that Pythagoras theorem states that

a^2 + b^2 = c^2 where c is the hypotenuse side and a, b are the opposite and adjacent sides

Hence

8^2 + 5^2 = c^2

c^2 = 64 + 25

= 89

Finding the roots of both sides

c = 9.433981132

To the nearest tenth

c = 9.4 inches

What is equivalent to 9?
A:2^3
B:3^-2
C:2^-3
D:3^2

Answers

D is your answer, it equals 9 :)

HELP ASAP!!!!!!!!! what is the measure of angle x?

Answers

Step-by-step explanation:

x + 149° = 180° {Being linear pair }

x = 180° - 149°

x = 31°

Hope it will help :)❤

Answer:

180-149 = 31

that's right

Solve the inequality x + 1 > 5. Then graph the solutions.

Answers

Solution to Inequality #1:

6 - x > 15
-x > 15 - 6
-x > 9
-x/-1 < 9/-1 (divide by -1; reverse sign of inequality)
x < -9

Solution to Inequality #2:

8x < 1
x < 1/8

OR

x - 9 > -5
x > -5 + 9
x > 4

Solution to Inequality #3:

|x + 3| >= 4

Positive Case:

x + 3 >= 4
x >= 4 - 3
x >= 1

Negative Case:

-1(x + 3) >= 4
-x - 3 > = 4
-x >= 4 + 3
-x >= 7
-x/-1 <= 7/-1 (divide by -1; reverse sign of inequality)
x <= -7

Alex spent $126.42 on new school clothes and supplies. If $86.23 of that was spent on supplies, what percent of what she spent on supplies?

Answers

Answer:

68%

Step-by-step explanation:

To find the percentage we are going to put the amount she spent on supplies over the total amount she spent and multiply it by 100.

= 86.23 ÷ 126.42 × 100

= 68.2% or 68%

Chelsea is covering the outside of an old toy box with decorative paper. The box measures 6 inches by 14 inches by 3 inches.

How many square inches of paper is needed to cover the box?

Answers

Answer:

She will be needing 300 square inches of paper

length=14inches

breadth=3inches

height=6inches

TSA= 2(lb+lh+bh)

=2(14×3+14×6+3×6)

=2(42+84+24)

=2×150

=300 square inches

Answer:

69,420

Step-by-step explanation:

69,420 sq ft of decorative paper

what is this value? giving thanks and marking brainliest :)

Answers

Answer:

x = 23 degress

Step-by-step explanation:

(x + 2) + 65 = 90

x + 2 = 25

x = 23 degress

Find the measure of the exterior <1.

A. 35°
B. 95°
C. 85
D. 120°

Answers

Answer: the answer is c for me I took the test

Step-by-step explanation:

Took the test

BRAINLY TO WHOEVER CAN HELP- ALSO IF YOU GIVE VIA FILESHARE PLS JUST GIVE ME A VERY BREIF SUMMARY CAUSE I CANT OPEN IT

Answers

Answer:

A':2,4

B'4,4

C'2,4

D'2,1.5

Step-by-step explanation:

Just half all the points so in the case of A the original point is 4,8. Dialating by 1/2 is splitting it in half so the new point would be A' 2,4

help will mark brainliest, 100 points

Answers

Answer:

Slope:  − 4

y-intercept:   ( 0 , 0 )

x  y  0/ 0

      1 /− 4

Step-by-step explanation:

Give brainliest :)

Answer:

Slope:  − 4

y-intercept:   ( 0 , 0 )

x  y  0/ 0

    1 /− 4

Step-by-step explanation:

How many ways can you write a ratio?
Group of answer choices

Answers

Answer:

A ratio can be written in three different ways: with the word “to”: 3 to 4. as a fraction: . with a colon: 3 : 4.

Step-by-step explanation:

what are the values of a, b, and c in the quadratic equation -2x² + 4x - 3 =0?

Answers

Answer:

x=1

Step-by-step explanation:

I believe that's the answer sorry if I'm wrong

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